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Finding the Fourth Proportional to 1,289.54, 1,778.65 and 792.45

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Solution

The fourth proportional to 1,289.54, 1,778.65 and 792.45 is: 1,093.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.54 : 1,778.65 = 792.45 : x
  2. Step 2: Convert to fraction form
    1,289.54/1,778.65 = 792.45/x
  3. Step 3: Cross multiply
    1,289.54x = 1,778.65 × 792.45
  4. Step 4: Simplify right side
    1,289.54x = 1,409,495.88
  5. Step 5: Solve for x
    x = 1,409,495.88/1,289.54
  6. Step 6: Final answer
    x = 1,093.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.